1. The specific statistical methods that can be used to summarize or to describe a

2. A population, in statistical terms, is the totality of things under consideration. It is the collection of all values of the _________________ that is under study. a. Instance b. Variable c. Amount d. Measure

3. Sampling is simply a process of learning about the __________________ on the basis of a sample drawn from it. a. Census b. Population c. Group d. Area

4. A _____________________ variable is a variable whose values can theoretically take on an infinite number of values within a given range of values.

a. Continuous b. Discrete c. Random d. Both (a) and (b)

5. The sampling errors arise due to drawing faulty inferences about the __________________ based upon the results of the samples.

a. Sample b. Survey c. Population d. Census

6. A summary measure that describes any given characteristic of the population is known as a __________________. a. Parameter b. Information c. Inference d. Statistics

7. A function very similar to that of sorting letters in a post office is: a. Mean b. Standard deviation c. Classification d. Mean deviation

8. If a sample of size n from a given finite population of size N, then the total number of samples is: a. N! / (N n)! b. N! c. N! /n! d. N! /n! (N n )!

9. Standard error of the sampling distribution of a statistic t is:

a. Standard deviation b. Median c. Variance d. Mean

10. The standard deviation for 15, 22, 27, 11, 9, 21, 14, 9 is:

a. 6.22 b. 6.12 c. 6.04 d. 6.32

11. A student obtained the mean and the standard deviation of 100 observations as 40 and 5.1. It was later found that one observation was wrongly copied as 50, the correct figure being 40. Find the correct mean and the S.D.

13. The mean deviation from the median is: a. Equal to that measured from another value b. Maximum if all the observations are positive c. Greater than that measured from any other value d. Less than that measured from any value 14. The mean deviation of the series a, a + d, a +2d., a + 2n from its mean is a. (n + 1) d /2n +1 b. nd /2n +1 c. n (n +1) d /2n +1 d. (2n +1) d /n (n+1)

17. The mean of n observations is X. If k is added to each observation then the new mean is a. X b. X + k c. X k d. kX

18. The algebraic sum of the deviations of a set of n values from their mean is a. 0 b. n 1 c. n d. n + 1

19. The geometric mean of 10 observation s on a certain variable was calculated as 16.2. It was later discovered that one of the observations was wrongly recorded as 12.9; in fact it was 21.9. The correct G.M is: a. 17.12 b. 18.43 c. 17.08 d. 18.15

20. From the monthly income of 10 families find the coefficient of range is:

27. If the median of a distribution is greater than mean, then the distribution i a. not skewed b. symmetrical about its mean c. skewed to the left d. skewed to the right

28. The interquartile range is _____________. a. the largest value minus the least value b. the ratio of the mean to the standard deviation c. negative if the distribution is skewed to the left d. Q3 - Q1

29. A statistics student made the following grades on 5 tests: 84, 78, 88, 78, and 72. What is the mean grade? a. 78 b. 80 c. 72 d. 84

30. A statistics student made the following grades on 5 tests: 84, 78, 88, 72, and 72. What is the median grade? a. 88 b. 72 c. 78 d. 80

32. What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit? a. 1 b. 14 c. 20 d. 21

33. Three candidates contested an election and received 2236, 15272 and 23256 votes respectively. What percentage of the total votes did the winning candidate get? a. 57% b. 60% c. 65% d. 90%

34. Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? a. Rs. 15 b. Rs. 15.70 c. Rs. 19.70 d. Rs. 20

35. The population of a Lalitpur town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is: a. 4.37% b. 5% c. 6% d. 8.75%

36. How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest? a. 3.5 years b. 4 years c. 4.5 years d. 5 years

37. If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time? a. Rs. 51.25 b. Rs. 52 c. Rs. 54.25 d. Rs. 60

38. At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years? a. 6% b. 6.5% c. 7% d. 7.5%

39. The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is: a. 2 b. 212

c. 3 d. 4

40. A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in: a. 91days 5

b. 92days 5

c. 93days 5

d. 10

41. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

a. Rs. 375 b. Rs. 400 c. Rs. 600 d. Rs. 800

42. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman? a. 3 : 4 b. 4 : 3 c. 5 : 3 d. Data inadequate

43. A and B can do a job together in 7 days. A is 1 times as efficient as B. The same job can be done by A alone in : a. 91days 3

b. 11 days c. 121days4

d. 161days3

44. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in : a. 4 days b. 6 days c. 8 days d. 12 days

46. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary? a. Rs. 17,000 b. Rs. 20,000 c. Rs. 25,500 d. Rs. 38,000

47. A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay? a. Rs. 9025.20 b. Rs. 9200 c. Rs. 9600 d. Rs. 9560

49. A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man: a. gains Rs. 55 b. gains Rs. 50 c. loses Rs. 30 d. gains Rs. 30

50. If the mid points of the classes are 16, 24, 32, 40, and so on, then the magnitude of the class interval is: a. 8 b. 9 c. 7 d. 6